A new fractional operator of variable order: application in the description of anomalous diffusion
Statistical Mechanics
2017-07-18 v1
Abstract
In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process.
Keywords
Cite
@article{arxiv.1611.09200,
title = {A new fractional operator of variable order: application in the description of anomalous diffusion},
author = {Xiao-Jun Yang and J. A. Tenreiro Machado},
journal= {arXiv preprint arXiv:1611.09200},
year = {2017}
}
Comments
2 figures, 13 pages